Vertical angles are formed by two intersecting lines and have equal measures. Therefore, in this case, we can set the measures of angles one and three equal to each other:
2X + 26 = 3X + 32
To isolate X, we can subtract 2X from both sides:
26 = X + 32
Subtracting 32 from both sides gives us:
-6 = X
Now that we have the value of X, we can substitute it back into one of the original equations to find the measure of the angles. Let's use angle one:
Angle one = 2X + 26
Angle one = 2(-6) + 26
Angle one = -12 + 26
Angle one = 14
Therefore, the measure of angle one is 14 degrees. Since vertical angles have equal measures, the measure of angle three is also 14 degrees.
Two verticals angles with measures one equals 2X +26 and three equals 3X +32 what is the measure of each angle
1 answer
1 answer